| INDUSTRIAL ENGINEERING (ENGLISH, THESIS) | |||||
| Master | TR-NQF-HE: Level 7 | QF-EHEA: Second Cycle | EQF-LLL: Level 7 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT5101 | Engineering Mathematics | Fall | 3 | 0 | 3 | 8 |
| This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
| Language of instruction: | Turkish |
| Type of course: | Departmental Elective |
| Course Level: | |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Prof. Dr. MESUT EROL SEZER |
| Course Lecturer(s): |
Assist. Prof. CAVİT FATİH KÜÇÜKTEZCAN |
| Recommended Optional Program Components: | None |
| Course Objectives: | To equip the student with advanced topics of vector calculus and complex calculus. |
|
The students who have succeeded in this course; The student will be able to understand differences and similarities of fundamental mathematical concepts as they apply to functions of a single variable or several variables, and to apply concepts of advanced calculus and complex calculus to engineering problems |
| Vector differential and integral calculus, and applications. Complex calculus and applications. Fourier series and Fourier transform. |
| Week | Subject | Related Preparation |
| 1) | Review of single-variable calculus. | |
| 2) | Functions of several variables. Partial derivatives, differentials, implicit functions, Jacobian. | |
| 3) | Vector functions. Gradient, divergence, curl and Laplacian. Directional derivative. | |
| 4) | Maxima and minima, Lagrange multipliers. | |
| 5) | Multiple integrals. Line integrals, Green's theorem. | |
| 6) | Surface integrals, the divergence theorem, Stoke's theorem. | |
| 7) | Cylindrical and spherical coordinates. | |
| 8) | Applications of vector calculus. | |
| 9) | Functions of a complex variable. Continuity and differentiation. | |
| 10) | Complex integration. Cauchy's theorem and integral formula. | |
| 11) | Taylor and Laurent series. Poles and residues. | |
| 12) | Conformal mapping and applications. | |
| 13) | Fourier series. | |
| 14) | Fourier transform. |
| Course Notes / Textbooks: | |
| References: | 1. D. Bachman, Advanced Calculus Demystified, McGraw-Hill, 2007. 2. F. J. Flanigan, Complex Variables, Dover, 1983. |
| Semester Requirements | Number of Activities | Level of Contribution |
| Attendance | 15 | % 15 |
| Homework Assignments | 5 | % 15 |
| Midterms | 1 | % 30 |
| Final | 1 | % 40 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Study Hours Out of Class | 14 | 7 | 98 |
| Homework Assignments | 5 | 5 | 25 |
| Midterms | 1 | 10 | 10 |
| Final | 1 | 15 | 15 |
| Total Workload | 190 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Follows the scientific literature, analyzes it critically, and uses it effectively in solving engineering problems. | |
| 2) | Designs, plans, implements, and manages original projects related to the program field. | |
| 3) | Independently conducts studies related to the program field, assumes scientific responsibility, and evaluates the results with a critical perspective. | |
| 4) | Presents the results of their research and projects effectively in written, oral, and visual formats in accordance with academic standards. | |
| 5) | Conducts independent research on subjects requiring expertise in their field, develops original ideas, and transfers this knowledge into practice. | |
| 6) | Effectively uses advanced theoretical and practical knowledge specific to the program field. | |
| 7) | Acts in accordance with professional, scientific, and ethical values; takes responsibility by considering the social, environmental, and ethical impacts of engineering practices. |